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1434645252 = 2232373972713
BaseRepresentation
bin101010110000010…
…1111001100000100
310200222112112022100
41111200233030010
510414232122002
6354205232100
750360166135
oct12540571404
93628475270
101434645252
11676902237
12340562630
1319b2bbc21
14d876dc8c
1585e3a11c
hex5582f304

1434645252 has 72 divisors (see below), whose sum is σ = 3735234776. Its totient is φ = 463947264.

The previous prime is 1434645197. The next prime is 1434645253. The reversal of 1434645252 is 2525464341.

1434645252 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 645 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1069682436 + 364962816 = 32706^2 + 19104^2 .

It is a super-2 number, since 2×14346452522 = 4116413998172287008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1434645253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527448 + ... + 530160.

Almost surely, 21434645252 is an apocalyptic number.

1434645252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434645252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867617388).

1434645252 is an abundant number, since it is smaller than the sum of its proper divisors (2300589524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1434645252 is a wasteful number, since it uses less digits than its factorization.

1434645252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3152 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 1434645252 is about 37876.7112088682. The cubic root of 1434645252 is about 1127.8417708492.

The spelling of 1434645252 in words is "one billion, four hundred thirty-four million, six hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 397 444 666 794 1191 1332 1588 2382 2713 3573 4764 5426 7146 8139 10852 14292 14689 16278 24417 29378 32556 44067 48834 58756 88134 97668 100381 132201 176268 200762 264402 301143 401524 528804 602286 903429 1077061 1204572 1806858 2154122 3231183 3613716 4308244 6462366 9693549 12924732 19387098 38774196 39851257 79702514 119553771 159405028 239107542 358661313 478215084 717322626 1434645252